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a variable that has a single numerical value, determined by chance for each outcome of a procedure. |
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A description that gives the probability for each value of the random variable; this description is often expressed in the form of a graph, table, or formula. |
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Discrete Random Variables |
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A finite number of values or a countable number of values (think Whole Numbers). |
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Continuous Random Variables |
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infinitely many values, and those values can be associated with measurements on a continuous scale without gaps or interruptions (think Decimals). |
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Most values should lie within 2 standard deviations of the mean. Unusual values lie outside of these limits. |
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Rare Event rule for Inferential Statistics |
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This rule states that if, under a given assumption, the probability of a particular observed event is extremely small, it can be concluded that the assumption is probably false. |
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Identifying Unusual Probabilities |
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Definition
x successes among n trials is unusually high if P(x or more) [image] 0.05
x successes among n trials is unusually low if P(x or fewer) [image] 0.05. |
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Notation which denotes the probability of success("S") in one of the fixed ("n") number of trials. |
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Definition
S and F (success and failure) denote the two possible categories of all outcomes; p and q will denote the probabilities of S and F: P(S) = p -- denotes the probability of success in one of the "n" trials. P(F) = q -- denotes the probability of failure in one of the "n" trials. n denotes the fixed number of trials x denotes the specific number of successes in "n" trials. P(x) denotes the probability of getting exactly "x" successes among the "n" trials. |
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Definition
Notation which denotes the probability of Failure("F") in one of the fixed ("n") number of trials. |
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